Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution
MetadataShow full item record
CitationDemiray, H. & El-Zahar, E. R. (2018). Cylindrical and spherical solitary waves in an electron-acoustic plasma with vortex electron distribution. Physics Of Plasmas, 25(4), 1-8. doi:10.1063/1.5021729
We consider the nonlinear propagation of electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions. The basic nonlinear equations of the above described plasma are re-examined in the cylindrical (spherical) coordinates by employing the reductive perturbation technique. The modified cylindrical (spherical) KdV equation with fractional power nonlinearity is obtained as the evolution equation. Due to the nature of nonlinearity, this evolution equation cannot be reduced to the conventional KdV equation. A new family of closed form analytical approximate solution to the evolution equation and a comparison with numerical solution are presented and the results are depicted in some 2D and 3D figures. The results reveal that both solutions are in good agreement and the method can be used to obtain a new progressive wave solution for such evolution equations. Moreover, the resulting closed form analytical solution allows us to carry out a parametric study to investigate the effect of the physical parameters on the solution behavior of the modified cylindrical (spherical) KdV equation.
SourcePhysics Of Plasmas
Showing items related by title, author, creator and subject.
Contribution of higher order terms in electron-acoustic solitary waves with vortex electron distribution Demiray, Hilmi (Springer Basel AG, 2014-12)The basic equations describing the nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like distribution, and stationary ions, in the long-wave limit, are ...
Demiray, Hilmi (American Institute of Physics Inc., 2015-02-01)In the present work, based on a one dimensional model, we consider the head-on-collision of nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like ...
Modulational instability of acoustic waves in a dusty plasma with nonthermal electrons and trapped ions In the present work, employing the nonlinear field equations of a hot dusty plasma in the presence of nonthermal electrons and trapped ions, we studied the amplitude modulation of nonlinear waves in such a plasma medium ...